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Volume 35 • Number 1 • 2012
 
• A Production and Repair Model under a Time-Varying Demand Process
Mohd Omar and Ivan Yeo

Abstract.
In this paper, we propose a model for a production system that satisfies a continuous time-varying demand for a finished product over a known and finite planning horizon by supplying both new and repaired items. New items are fabricated from a single type of raw material procured from external suppliers, while used items are collected from the customers and then repaired to an `as new' condition before being sold again. For simplicity, we assume that there is no collection of used items during the repair uptime and downtime periods. The problem is to determine a joint policy for raw materials procurement, new items fabrication and used items repair such that the total relevant cost of the model is minimized. We propose a numerical solution procedure and we illustrate the model with some numerical examples and a simple sensitivity analysis.

2010 Mathematics Subject Classification: 90B05.


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